Recent experimental studies on superconducting qubits have shown that \(T_1\)  and \(T_2\)  are time-variant [1]}, [2]}, [3]}. These results have led to the proposal of the framework of time-varying quantum channels [4]} as quantum channel models that fluctuate from time-to-time. This time-varying channel paradigm stands in contrast to the static approach that has been assumed previously. The TVQC model [4]} is relevant given its consideration of the dynamic behaviour of experimentally measured decoherence parameters. Furthermore, it was shown in [4]} that the excellent performance achieved by the QECCs proposed in the literature is compromised when the time-variations considered for decoherence modelling are significant and the QECCs have a steep error correction curve. This last result is embodied by a flattening of the steep error rate curve (as a function of the noise level) of those QECCs. In consequence, since the TVQC portrays a more realistic mathematical abstraction of the quantum noise suffered by superconducting qubits when time variations of decoherence parameters exist, the real error rate of QECCs should present this flattening effect.
